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Simplifying -9(v + 3) + 2v + 7 = 6v + 9 Reorder the terms: -9(3 + v) + 2v + 7 = 6v + 9 (3 * -9 + v * -9) + 2v + 7 = 6v + 9 (-27 + -9v) + 2v + 7 = 6v + 9 Reorder the terms: -27 + 7 + -9v + 2v = 6v + 9 Combine like terms: -27 + 7 = -20 -20 + -9v + 2v = 6v + 9 Combine like terms: -9v + 2v = -7v -20 + -7v = 6v + 9 Reorder the terms: -20 + -7v = 9 + 6v Solving -20 + -7v = 9 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -20 + -7v + -6v = 9 + 6v + -6v Combine like terms: -7v + -6v = -13v -20 + -13v = 9 + 6v + -6v Combine like terms: 6v + -6v = 0 -20 + -13v = 9 + 0 -20 + -13v = 9 Add '20' to each side of the equation. -20 + 20 + -13v = 9 + 20 Combine like terms: -20 + 20 = 0 0 + -13v = 9 + 20 -13v = 9 + 20 Combine like terms: 9 + 20 = 29 -13v = 29 Divide each side by '-13'. v = -2.230769231 Simplifying v = -2.230769231
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